In particular, the black string solution in Ref. [1]}, and its generalization to the \(SU(N)\)  group constructed here, is of great interest.
As it is well known, black hole solutions in general relativity in four dimensions have very well defined properties including restrictions of the topology of the horizons. But, in higher dimensions, extended objects as black string and \(p\) -branes arise naturally and exhibit properties that differ from those of the black holes [2]}, [3]}, [4]}, [5]}, [6]}, [7]}, [8]}. Between these novel properties, it was demonstrated that these configurations present a long wavelength instability, producing in its final state a naked singularity [9]}, [10]},
[11]}, [12]} (see also [13]}, [14]}), leading to an explicit violation of cosmic censorship.
